Question

In a bag, there are 50 paise coins, Rs 1 coins, and Rs 2 coins. The total value of these coins is Rs 30. The number of Rs 2 coins is half the number of Rs 1 coins, which is half the number of 50 paise coins. Find thenumber of Rs1 coins

Answer 1

Let the number of 50 paise coins, Rs 1 coins, and Rs 2 coins in the bag be `f, theta, and t`, respectively.
Total value (in Rs) `= (50)/(100) f + 1 theta + 2t = 30`
`(f)/(2) + theta + 2t = 30`
`t = (theta)/(2) and theta = (f)/(2)`
`:. 2t = theta = (f)/(2)`
`(1) rArr theta + theta + theta = 30`
`:. 3 theta = 30 rArr theta = 10`